By solving a system of equations, we see that:
x = 89 and y = 98.
<h3>
How to find the two numbers?</h3>
First, we can write:
x = a*10 + b
y = b*10 + c
Where a, b, and c are single digit numbers. You can see that b is on both numbers because we know that the numbers share a digit, but on different order.
We also know that:
x + y = 187
a + b + b + c = 34
I we rewrite the first equation, we get:
(a*10 + b) + (b*10 + c) = 187
10a + 11b + c = 187
Then we have two equations:
a + 2b + c = 34
10a + 11b + c = 187
In both equations we can isolate c:
34 -2b -a = c
10a + 11b - 187 = c
Now we have:
-a - 2b + 34 = -10a - 11b + 187
Solving that, we get:
9a + 9b = 153
a + b = 153/9 = 17
Then a and b add up to 17, we can take:
a = 8
b = 9
And:
c = -a - 2b + 34 = -8 - 9 - 9 + 34 = 8
Then the numbers are:
x = 89
y = 98
If you want to learn more about system of equations:
brainly.com/question/13729904
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